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Stein, \\begin{align*} g_{\\lambda}^{*}(f)(x) =\\bigg(\\iint_{\\mathbb R^{n+1}_{+}} \\Big(\\frac{t}{t+|x-y|}\\Big)^{n\\lambda} |\\nabla P_tf(y,t)|^2 \\frac{dy dt}{t^{n-1}}\\bigg)^{1/2}, \\ \\quad \\lambda > 1, \\end{align*} where $P_tf(y,t)=p_t*f(y)$, $p_t(y)=t^{-n}p(y/t)$ and $p(x) = (1+|x|^2)^{-(n+1)/2}$, $\\nabla =(\\frac{\\partial}{\\partial y_1},\\ldots,\\frac{\\partial}{\\partial y_n},\\frac{\\partial}{\\partial t})$. 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